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" IF a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 92
by Euclid - 1810 - 518 pages
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...angles. PROP. XXXH. THEO R. TF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, mail be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, fhall be equal to the angles which arc in the alternate iegments of the circle. Let the ftraight line...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...PROP. XXXII. THEO R. IF a ftraight line touches a circle, a;id from the point of contadt a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, (hall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle. PROP. XXXII. THEOR. IF a flraight line touches a circle, and from the point of contact a rtraight line be drawn, cutting the circle, the angles made by this line, with the line touching the circle, fliall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...angles^ PROP. XXXII, THEOR. IF a ftraight line touches a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line touching the circle, (hall be equal to the angles which are in the alternate fegments of the circle. Let the ftraight line...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...angles. PROP. XXXII. THEO R. IF a ftraight line touch a circle, and from the point of contact a ftraight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, fhall be equal to the angles ia the alternate fegments of the circle. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...is perpendicular to DE. Therefore, if a straight line, &c. QED a 17. 1. b 19. i. PROP. XIX. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line. Book III. Let the straight...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...shall be perpendicular to the line touching the circle. Prop. XIX. Theor. If a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the. touching line, the centro of the circle shall be in that line. Prop. XX. Theor....
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...demonstration, that these three perpendiculars BE, GF, and CD intersect each other in the same point AQED 249. If a straight line touch a circle, and from the point of contact two chords be drawn, and if from the extremity of one of them, a straight line be drawn parallel to...
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...ībid. 95 26 ibid, 27 28 29 - 30 ibid. 31 ibid. 33 ibid. Page Theorem 13. If a straight line touches a circle, and from the point of contact, a straight line be drawn, cutting the circle, the angle made by this line with the first line, shall be equal to the angle in the alternate segment of...
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